Deconstructing the Gel’fand–Yaglom Method and Vacuum Energy from a Theory Space
The discrete Gel’fand–Yaglom theorem was studied several years ago. In the present paper, we generalize the discrete Gel’fand–Yaglom method to obtain the determinants of mass matrices which appear in current works in particle physics, such as dimensional deconstruction and clockwork theory. Using th...
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Format: | Article |
Language: | English |
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Wiley
2019-01-01
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Series: | Advances in Mathematical Physics |
Online Access: | http://dx.doi.org/10.1155/2019/6579187 |
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author | Nahomi Kan Kiyoshi Shiraishi |
author_facet | Nahomi Kan Kiyoshi Shiraishi |
author_sort | Nahomi Kan |
collection | DOAJ |
description | The discrete Gel’fand–Yaglom theorem was studied several years ago. In the present paper, we generalize the discrete Gel’fand–Yaglom method to obtain the determinants of mass matrices which appear in current works in particle physics, such as dimensional deconstruction and clockwork theory. Using the results, we show the expressions for vacuum energies in such various models. |
format | Article |
id | doaj-art-98a396f632584a6aa60af46b43e63500 |
institution | Kabale University |
issn | 1687-9120 1687-9139 |
language | English |
publishDate | 2019-01-01 |
publisher | Wiley |
record_format | Article |
series | Advances in Mathematical Physics |
spelling | doaj-art-98a396f632584a6aa60af46b43e635002025-02-03T06:46:26ZengWileyAdvances in Mathematical Physics1687-91201687-91392019-01-01201910.1155/2019/65791876579187Deconstructing the Gel’fand–Yaglom Method and Vacuum Energy from a Theory SpaceNahomi Kan0Kiyoshi Shiraishi1National Institute of Technology, Gifu College, Motosu-shi, Gifu 501-0495, JapanGraduate School of Sciences and Technology for Innovation, Yamaguchi University, Yamaguchi-shi, Yamaguchi 753-8512, JapanThe discrete Gel’fand–Yaglom theorem was studied several years ago. In the present paper, we generalize the discrete Gel’fand–Yaglom method to obtain the determinants of mass matrices which appear in current works in particle physics, such as dimensional deconstruction and clockwork theory. Using the results, we show the expressions for vacuum energies in such various models.http://dx.doi.org/10.1155/2019/6579187 |
spellingShingle | Nahomi Kan Kiyoshi Shiraishi Deconstructing the Gel’fand–Yaglom Method and Vacuum Energy from a Theory Space Advances in Mathematical Physics |
title | Deconstructing the Gel’fand–Yaglom Method and Vacuum Energy from a Theory Space |
title_full | Deconstructing the Gel’fand–Yaglom Method and Vacuum Energy from a Theory Space |
title_fullStr | Deconstructing the Gel’fand–Yaglom Method and Vacuum Energy from a Theory Space |
title_full_unstemmed | Deconstructing the Gel’fand–Yaglom Method and Vacuum Energy from a Theory Space |
title_short | Deconstructing the Gel’fand–Yaglom Method and Vacuum Energy from a Theory Space |
title_sort | deconstructing the gel fand yaglom method and vacuum energy from a theory space |
url | http://dx.doi.org/10.1155/2019/6579187 |
work_keys_str_mv | AT nahomikan deconstructingthegelfandyaglommethodandvacuumenergyfromatheoryspace AT kiyoshishiraishi deconstructingthegelfandyaglommethodandvacuumenergyfromatheoryspace |